My family is also from the Chambers Co, Ala; Randolph Co and Troup Co, Ga areas. I have just started researching the Burdetts so don't really have a whole lot to share. I have a Martha Patsy Reeves who married Enoch Callaway back in the 1811 in Wilkes Co. Ga. Her father was Abner Reeves.
No other Reeves identified as yet.
On the Burdette side, Joseph 'Tom' Burdette married Eugenia Clementine Young in February 1870; four daughters were born -
Mary Tallalah (lula) , Mary (Lizzie), Susan Bell and Matilda (Tommie). Joseph "Tom's" father was R. T. Burdette who died 3/22/1892.
I also have an Odie Velpo Burdett who married Margaret 'Sue' Spear in March of 1934. His father's name was Odie Burdett.
Please let me know if any connection. I am changing my email address, so email me at firstname.lastname@example.org